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What is the Directrix ?

What is the Focus of a parabola?

Equation of Parabola in Standard Form

Equation of Parabola in Vertex Form

A fixed line that defines the parabola. Every point on the pa…

What is the Directrix ?

A fixed line that defines the parabola. Every point on the pa…

What is the Focus of a parabola?

Center of a Circle

Circle

Conic Section

Diameter

The point inside the circle that is the same distance from al…

The set of all points in a plane that are the same distance,…

A figure formed by the intersection of a plane and a right ci…

The distance across a circle through its center. The line seg…

Center of a Circle

The point inside the circle that is the same distance from al…

Circle

The set of all points in a plane that are the same distance,…

What is the Directrix ?

What is the Focus of a parabola?

Equation of Parabola in Standard Form

Equation of Parabola in Vertex Form

A fixed line that defines the parabola. Every point on the pa…

What is the Directrix ?

A fixed line that defines the parabola. Every point on the pa…

What is the Focus of a parabola?

distance formula

midpoint formula

standard form for a circle

domain and range of a circle

used to find diameter or radius when given 2 sets of points

used to find the center

x^2 + y^2 = r^2 OR (x-h)^2 + (y-k)^2 = r^2... x and y coefficie…

[brackets], domain - left to right, range - bottom to top

distance formula

used to find diameter or radius when given 2 sets of points

midpoint formula

used to find the center

Axis

Branch

Center

Circle

The line over which a parabola is symmetric.

The term for each of the two distinct sections of the graph o…

For an ellipse and hyperbola, the midpoint between the foci.…

The set of all points equidistant from a given fixed point.

Axis

The line over which a parabola is symmetric.

Branch

The term for each of the two distinct sections of the graph o…

Form of an Equation:... y = a(x-h)^2 + k…

Form of an Equation:... x = a(y-k)^2 + h…

Vertex

Axis of Symmetry

Up if a > 0, down if a < 0

Right if a > 0, Left if a < 0

Always (h,k)

x=h in up/down parabola & y=k in right/left parabola

Form of an Equation:... y = a(x-h)^2 + k…

Up if a > 0, down if a < 0

Form of an Equation:... x = a(y-k)^2 + h…

Right if a > 0, Left if a < 0

(x - h)^2 / a^2 + (y - k)^2 / b^2 = 1

(x - h)^2 / b^2 + (y - k)^2 / a^2 = 1

(x - h)^2 / a^2 - (y - k)^2 / b^2 = 1

(y - k)^2 / a^2 - (x - h)^2 / b^2 = 1

Ellipse (left to right)

Ellipse (up and down)

Hyperbola (left and right sides)

Hyperbola ( top and bottom)

(x - h)^2 / a^2 + (y - k)^2 / b^2 = 1

Ellipse (left to right)

(x - h)^2 / b^2 + (y - k)^2 / a^2 = 1

Ellipse (up and down)

Circle

radius

Standard form of a circle

Center of circle

the set of all points in a plane that are equidistant from a…

the distance from the center to any point on the circle

(x-h)^2+(y-k)^2=r^2... or ... x^2+y^2=r^2

(h,k)

Circle

the set of all points in a plane that are equidistant from a…

radius

the distance from the center to any point on the circle

how know if equation is a circle

how know if equation is a parabola

how know if equation is an elipse

how know if equation is a hyperbola

2 squared terms

1 squared term

2 squared terms = 1

2 squared terms and (-) sign

how know if equation is a circle

2 squared terms

how know if equation is a parabola

1 squared term

Parabola

Vertex form for a vertical parabola

What is the direction of a vertical pa…

What is the direction of a vertical pa…

The set of points equidistant from a fixed point and a fixed…

y = a(x-h)^2 + k

Upwards

Downwards

Parabola

The set of points equidistant from a fixed point and a fixed…

Vertex form for a vertical parabola

y = a(x-h)^2 + k

(x-h)^2+(y-k)^2=r^2

(x-h)^2=4p(y-k)

(y-k)^2=4p(x-h)

P

Standard form of a circle

Standard form of a vertical parabola

Standard form of a horizontal parabola

Represents the distance between vertex and focus for a parabola

(x-h)^2+(y-k)^2=r^2

Standard form of a circle

(x-h)^2=4p(y-k)

Standard form of a vertical parabola

conic

circle

parabola

ellipse

ax² + by² + cx + dy + e = 0... a and b ≠ 0

ax² + by² + cx + dy + e = 0... a = b

ax² + by² + cx + dy + e = 0... either a = 0 or b = 0

ax² + by² + cx + dy + e = 0... a and b are positive and a ≠ b

conic

ax² + by² + cx + dy + e = 0... a and b ≠ 0

circle

ax² + by² + cx + dy + e = 0... a = b

parabola

P

directrix

focus

the set of all points that are equidistant from the focus and…

the distance from the vertex to the focus

a line that is a distance of P from the vertex in the opposit…

a point inside the parabola that is a distance of P from the…

parabola

the set of all points that are equidistant from the focus and…

P

the distance from the vertex to the focus

Parabolas (horizontal, open side to si…

Parabolas (vertical, open up and down)

Ellipse (horizontally long)

Ellipse (vertically long)

(y-k)^2 = 4p(x-h)

(x-h)^2 = 4p(y-k)

(x-h)^2 / a^2 + (y-k)^2 / b^2 =1

(x-h)^2 / b^2 + (y-k)^2 / a^2 =1

Parabolas (horizontal, open side to si…

(y-k)^2 = 4p(x-h)

Parabolas (vertical, open up and down)

(x-h)^2 = 4p(y-k)